131. Train A crosses a pole in 16 seconds and also crosses train B running opposite direction in 14.4 seconds. Train A crosses 500 m long tunnel in 36 seconds and the speed of train B is 60 kmph. Find the length of train B?

ट्रेन A एक खंभे को 16 सेकंड में पार करती है और साथ ही विपरीत दिशा में दौड़ने वाली ट्रेन B को 14.4 सेकंड में पार करती है। ट्रेन A, 500 मीटर लंबी सुरंग को 36 सेकंड में पार करती है और ट्रेन B की गति 60 किमी प्रति घंटा है। ट्रेन B की लंबाई को ज्ञात कीजिये?

A. 300 m
B. 400 m
C. 200 m
D. 450 m
E. 450 m

Option “C” is correct.

Length of train A = a

Length of train B = b

Speed of train A = c

a = c * 5/18 * 16

9a = 40c

a + b = (60 + c) * 5/18 * 14.4

a + b = 240 + 4c

a + 500 = c * 5/18 * 36

a + 500 = 10c

4a + 2000 = 9a

a = 400

c = 90

400 + b = 240 + 90 * 4

b = 200 m
132. Speed of train A and B is in the ratio 1: 2. The difference between the speeds is cube of first odd prime number and a man sitting on the slower train passes the faster train in 12 seconds. If the two trains are running at opposite direction,find the length of faster train.

ट्रेन A और B की गति 1: 2 के अनुपात में है। गति के बीच का अंतर पहली विषम अभाज्य संख्या का घन है और धीमी ट्रेन पर बैठा आदमी 12 सेकंड में तेज ट्रेन को पार करता है। यदि दोनों ट्रेनें विपरीत दिशा में चल रही हैं, तो तेज ट्रेन की लंबाई ज्ञात करें।

A. 270 m
B. 250 m
C. 450 m
D. 360 m
E. 180 m

Option “A” is correct.

Speed of train A: Speed of train B = 1: 2 (x, 2x)

(2x – x) = 33

x = 27

Speed of train A = 27 kmph

Speed of train B = 27 * 2 = 54 kmph

Length = speed * time

Length = (27 + 54) * 5/18 * 12 = 270 m
133. 300 m long train A crosses the pole at the speed of 10 sec. If another train B crosses the train A, which is 200 m long from opposite direction at a speed of 20 m/sec. Find the time taken to cross each other?

300 मीटर लंबी ट्रेन A 10 सेकंड में एक खंबे को पार करती है। यदि कोई अन्य ट्रेन B ट्रेन A जो 200 मीटर लंबी है को 20 मीटर / सेकंड की गति से विपरीत दिशा से पार करती है। एक दूसरे को पार करने में लगने वाला समय ज्ञात कीजिये?

A. 14 sec
B. 10 sec
C. 16 sec
D. 18 sec
E. None of these

Option “B” is correct.

Speed of Train A = 300/10 = 30 m/s

T = D/S

T = (300 + 200) / (30 + 20)

T = (500 / 50) = 10 sec
134. A 360 meter long train crosses a 420 meter long train running in the opposite direction in 12 seconds. If the speed of the slower train is 90 kmph, then what is the speed of the faster train?

एक 360 मीटर लंबी ट्रेन, विपरीत दिशा में चल रही 420 मीटर लंबी ट्रेन को 12 सेकंड में पार करती है। यदि धीमी ट्रेन की गति 90 किमी प्रति घंटा है। तो तेज ट्रेन की गति क्या है?

A. 50m/s
B. 20m/s
C. 40m/s
D. 80m/s
E. None of these

Option “C” is correct.

Speed of first train =90*5/18 = 25m/s

Let the speed of second train be a m/s

(360+420)/(25+a) = 12

780/(25+a) = 12

a=40 m/s
135. A train 250 meter long passes a pole in 5 seconds and crosses another train travelling in the opposite direction in 3 seconds. If the length of the second train is twice the length of the first train, find the distance travelled by the second train in 40 minutes.

250 मीटर लंबी एक ट्रेन 5 सेकंड में एक खंबे को पार करती है और विपरीत दिशा में यात्रा करने वाली दूसरी ट्रेन को 3 सेकंड में पार करती है। यदि दूसरी ट्रेन की लंबाई पहली ट्रेन की लंबाई की दोगुनी है, तो दूसरी ट्रेन द्वारा 40 मिनट में तय की गई दूरी ज्ञात कीजिए।

A. 120 km
B. 500 km
C. 480 km
D. 240 km
E. None of these

Option “C” is correct.

Speed of the first train = 250 /5 = 50 m/s

Length of the second train = 2*250 = 500m

Relative speed = (250+500) /3 = 750/3 = 250 m/s

Speed of the second train = 250 – 50 = 200m/s

Required distance = 200*40*60 = 480000m = 480 km
136. A train crosses 200 m long platform in 18 seconds and the same train crosses an electric pole in 6 seconds. What is the time taken by the train crosses a man running in the opposite direction at the speed of 30 kmph?

एक ट्रेन 200 मीटर लंबे प्लेटफॉर्म को 18 सेकंड में पार करती है और वही ट्रेन 6 सेकंड में बिजली के खंभे को पार करती है। ट्रेन 30 किमी प्रति घंटे की गति से विपरीत दिशा में दौड़ रहे एक व्यक्ति को पार करने में कितना समय लेती है?

A. 3 seconds
B. 4 seconds
C. 6 seconds
D. 8 seconds
E. None of these

Option “B” is correct.

Length of train = x

Speed of train = y

x + 200 = y * 5/18 * 18

x + 200 = 5y

x = y * 5/18 * 6

3x = 5y

x + 200 = 3x

x = 100 m

y = 300/5 = 60 kmph

Required time = [100/(60 + 30)] * 18/5

= 4 seconds
137. A train crosses 200 m long platform in 36 seconds and the same train crosses a man standing in the platform in 18 seconds. What is the time taken by the same train crosses another 300 m train running opposite direction at the speed of 40 kmph?

एक ट्रेन 200 मीटर लंबे प्लेटफॉर्म को 36 सेकंड में पार करती है और वही ट्रेन प्लेटफॉर्म पर खड़े एक व्यक्ति को 18 सेकंड में पार करती है। उसी ट्रेन द्वारा 40 किमी प्रति घंटे की गति से विपरीत दिशा में चलने वाली 300 मीटर की अन्य ट्रेन को पार करने में लिया गया समय क्या है?

A. 18.5 seconds
B. 19.5 seconds
C. 20.5 seconds
D. 21.5 seconds
E. 22.5 seconds

Option “E” is correct.

Length of train = x

Speed of train = y

x + 200 = y * 5/18 * 36

x + 200 = 10y

x = y * 5/18 * 18

x = 5y

x + 200 = 2x

x = 200

y = 200/5 = 40 kmph

Required time = (300 + 200)/[80 * 5/18] = 22.5 seconds
138. A train crosses 200 m long stationery train in 18 seconds and also the train crosses a man running in opposite direction at the speed of 15 kmph in 4.8 seconds. Find the speed of train?

एक ट्रेन 18 सेकंड में 200 मीटर लंबी खड़ी ट्रेन को पार करती है और यह ट्रेन 4.8 सेकंड में 15 किमी प्रति घंटे की गति से विपरीत दिशा में चलने वाले एक आदमी को पार करती है। ट्रेन की गति ज्ञात कीजिये?

A. 40 kmph
B. 50 kmph
C. 60 kmph
D. 80 kmph
E. 70 kmph

Option “C” is correct.

Length of train = x

Speed of train = y

x + 200 = y * 5/18 * 18

x + 200 = 5y

x = (y + 15) * 5/18 * 4.8

3x = 4y + 60

(4y + 60)/3 + 200 = 5y

4y + 60 + 600 = 15y

11y = 660

y = 60 kmph
139. A train crosses a car is running in the opposite direction at the speed of 24 kmph in 18 seconds. If the speed of train is double that of car, then find the time taken by the train to cross 140 m long platform?

एक ट्रेन विपरीत दिशा में 24 किमी प्रति घंटे की गति से चल रही एक कार को 18 सेकंड में पार करती है। यदि ट्रेन की गति, कार की गति से दोगुनी है, तो ट्रेन द्वारा 140 मीटर लंबे प्लेटफॉर्म को पार करने में लगने वाला समय ज्ञात कीजिए?

A. 37.5 seconds
B. 25 seconds
C. 30 seconds
D. 28.8 seconds
E. 14.4 seconds

Option “A” is correct.

Length of train = (24 + 24 * 2) * 5/18 * 18

= 360 m

Required time = (360 + 140)/(24 * 2) * 5/18

= 37.5 seconds
140. A train crosses a man standing on a platform in 18 seconds and crosses 240 m long stationery train in 30 seconds. Find the time taken by a train crossing another 200 m long train is running in the opposite direction at the speed of 48 kmph?

एक ट्रेन प्लेटफॉर्म पर खड़े एक व्यक्ति को 18 सेकंड में पार करती है और 240 मीटर लंबी स्थिर ट्रेन को 30 सेकंड में पार करती है। 48 किमी प्रति घंटे की गति से विपरीत दिशा में चल रही 200 मीटर लंबी ट्रेन को पार करने में लगने वाला समय ज्ञात कीजिए?

A. 16.8 seconds
B. 14.4 seconds
C. 18 seconds
D. 22.5 seconds
E. None of these

Option “A” is correct.

Length of train = x

Speed of train = y

x = y * 5/18 * 18

x = 5y

x + 240 = y * 5/18 * 30

3x + 240 * 3 = 25y

3x + 240 * 3 = 5x

x = 360

y = 360/5 = 72 kmph

Required time = (360 + 200)/(72 + 48) * 5/18

= 16.8 seconds

 

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